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Finding the Third Proportional to 323,784 and 660,411

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Solution

The third proportional to 323,784 and 660,411 is: 1,347,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,784 : 660,411 = 660,411 : x
  2. Step 2: Convert to fraction form
    323,784/660,411 = 660,411/x
  3. Step 3: Cross multiply
    323,784x = 660,411 × 660,411
  4. Step 4: Simplify right side
    323,784x = 436,142,688,921
  5. Step 5: Solve for x
    x = 436,142,688,921/323,784
  6. Step 6: Final answer
    x = 1,347,017.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.